A new sparse technique for singular integral equations in electromagnetics

A simple matrix composition technique, based on the concept of measured equation of invariance (MEI), is proposed to numerically thin the matrix from singular integral equations, such as method of moments (MoM). This technique is referred to as matrix decomposition by the MEI concept (MDMEI). Since sparse matrices have many advantages for saving storage and computing time for large-size problems, many efforts have been done to thin the full matrix generated by the MoM. In order to generate the sparse matrix with little additional work on any of a variety of existent MoM programs, the MDMEI method is proposed. In this paper, the MoM matrices for a variety of problems, such as electrostatic problems, wire antennas, and 2- and 3-D conducting object scattering can be easily thinned by MDMEI.